Now showing items 1-17 of 17

    • A poro-thermoelastic problem with dissipative heat conduction 

      Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-18)
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      In this work, we study from the mathematical and numerical points of view a poro-thermoelastic problem. A long-term memory is assumed on the heat equation. Under some assumptions on the constitutive tensors, the resulting ...
    • A type III thermoelastic problem with mixtures 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-06)
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      In this work we study a thermoelastic problem involving binary mixtures. Type III thermal theory is considered for the modeling of the heat conduction. Existence, uniqueness and continuous dependence of solutions are proved ...
    • An a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures 

      Baldonado, Jacobo; Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-07-08)
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      In this paper, we deal with the numerical analysis of the Lord–Shulman thermoelastic problem with porosity and microtemperatures. The thermomechanical problem leads to a coupled system composed of linear hyperbolic partial ...
    • An a priori error analysis of poro-thermoviscoelastic problems 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2020-08-15)
      Article
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      In this paper, we study, from the numerical point of view, a dynamic one-dimensional problem arising in thermoelasticity and thermoviscoelasticity of types II and III. Porosity is also included into the models. The generic ...
    • Analysis of a Moore-Gibson-Thompson thermoelastic problem 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-01-15)
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      In this work, we numerically consider a thermoelastic problem where the thermal law is modeled using the so-called Moore-Gibson-Thompson equation. This thermomechanical problem is written as a coupled system composed of a ...
    • Analysis of a thermoelastic problem of type III 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-06)
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      This paper investigates several aspects of the linear type III thermoelastic theory. First, we consider the most general system of equations for this theory in the case that the conductivity rate is not definite and we ...
    • Lord–Shulman thermoelasticity with microtemperatures 

      Bazarra, Noelia; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2020-06-06)
      Article
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      In this paper we consider the Lord–Shulman thermoelastic theory with porosity and microtemperatures. The new aspect we propose here is to introduce a relaxation param- eter in the microtemperatures. Then we obtain an ...
    • Numerical analysis of a dual-phase-lag model involving two temperatures 

      Bazarra, Noelia; Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-12-27)
      Article
      Open Access
      In this paper, we numerically analyse a phase-lag model with two temperatures which arises in the heat conduction theory. The model is written as a linear partial differential equation of third order in time. The variational ...
    • Numerical analysis of a dual-phase-lag model with microtemperatures 

      Bazarra, Noelia; Copetti, Maria; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-03-24)
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      In the last twenty years, the analysis of problems involving dual-phase-lag models has received an increasing attention. In this work, we consider the coupling between one of these models and the microtemperatures effects. ...
    • Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction 

      Bazarra, Noelia; Campo, Marco; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-06)
      Article
      Open Access
      In this paper we study, from the numerical point of view, a thermoelastic problem with dual-phase-lag heat conduction. The variational formulation is written as a coupled system of hyperbolic linear variational equations. ...
    • Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-09-01)
      Article
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      In this work, we consider, from the numerical point of view, a poro-thermoelastic problem. The thermal law is the so-called of type III and the microtemperatures are also included into the model. The variational formulation ...
    • Numerical analysis of some dual-phase-lag models 

      Bazarra, Noelia; Copetti, Maria; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-01-15)
      Article
      Open Access
      In this paper we analyse, from the numerical point of view, two dual-phase-lag models appearing in the heat conduction theory. Both models are written as linear partial differential equations of third order in time. The ...
    • On the approximate problem for the incremental thermoelasticity 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-02-25)
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      In this work, we study an approximate problem arising in the incremental thermoelasticity. The existence of a unique solution is proved applying the theory of linear semigroups. The exponential energy decay is also considered. ...
    • On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity 

      Bazarra, Noelia; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2021-02-24)
      Article
      Open Access
      In this paper, we consider the Moore–Gibson–Thompson thermoelastic theory. We restrict our attention to radially symmetric solutions and we prove the exponential decay with respect to the time variable. We demonstrate this ...
    • On the linear thermoelasticity with two porosities: numerical aspects 

      Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-10-30)
      Article
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      In this work we analyze, from the numerical point of view, a dynamic problem involving a thermoelastic rod. Two porosities are considered: the first one is the macro-porosity, connected with the pores of the material, and ...
    • On the thermoelasticity with two porosities: asymptotic behaviour 

      Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-09-01)
      Article
      Open Access
      In this paper we consider the one-dimensional version of thermoelasticity with two porous structures and porous dissipation on one or both of them. We first give an existence and uniqueness result by means of semigroup ...
    • On the uniqueness and analyticity in viscoelasticity with double porosity 

      Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-04-01)
      Article
      Open Access
      In this paper we analyze the system of equations that models the behaviour of materials with a double porous structure. We introduce dissipation mechanisms in both structures. We show existence, uniqueness and analyticity ...